Laravel Contact Form

I purchased a html template from themeforest and I'm in the process of converting all the files into blade files. Bit of a mission I must say.

I now need to setup my contact form. I'm quite lost at the moment. I did read through the Laravel mail docs but I'm struggling. So the theme included the contact form (in html obviously) as well as the php 'contact-process file. Both files are shown below.

My question is, how do I convert this to laravel? I'm not sure which steps to follow. How can I make this contact form work in laravel?